Stochastic lattice gas model for a predator-prey system.
暂无分享,去创建一个
We propose a stochastic lattice gas model to describe the dynamics of two animal species population, one being a predator and the other a prey. This model comprehends the mechanisms of the Lotka-Volterra model. Our analysis was performed by using a dynamical mean-field approximation and computer simulations. Our results show that the system exhibits an oscillatory behavior of the population densities of prey and predators. For the sets of parameters used in our computer simulations, these oscillations occur at a local level. Mean-field results predict synchronized collective oscillations.
[1] Vito Volterra,et al. Leçons sur la théorie mathématique de la lutte pour la vie , 1931 .
[2] H. Haken,et al. Synergetics , 1988, IEEE Circuits and Devices Magazine.
[3] Grégoire Nicolis,et al. Self-Organization in nonequilibrium systems , 1977 .
[4] W. Ebeling. Stochastic Processes in Physics and Chemistry , 1995 .
[5] T. Liggett. Interacting Particle Systems , 1985 .